Fraction Review
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Questions and Answers

What is the numerator in a fraction?

  • The top number (correct)
  • The sum of the top and bottom numbers
  • The bottom number
  • The difference between the top and bottom numbers

    • What is the main rule to simplify a fraction?

  • Divide both the numerator and denominator by the largest number that will divide evenly into both (correct)
  • Subtract the numerator from the denominator
  • Add the numerator and denominator
  • Multiply the numerator and denominator by 2

    • What is the result of multiplying two fractions?

  • The product of the numerators and the product of the denominators (correct)
  • The difference between the numerators and the difference between the denominators
  • The product of the numerators and the sum of the denominators
  • The sum of the numerators and the product of the denominators

    • What does it mean for a fraction to be simplified?

    <p>The numerator and denominator have no factors in common other than 1</p> Signup and view all the answers

    What is the purpose of simplifying fractions?

    <p>To make the fraction easier to work with</p> Signup and view all the answers

    What is the correct method to multiply fractions?

    <p>Multiply the first fraction by the reciprocal of the second fraction</p> Signup and view all the answers

    What is the requirement for adding or subtracting fractions?

    <p>Denominators must be the same</p> Signup and view all the answers

    What is the result of multiplying $2/3$ and $5/7$?

    <p>10/21</p> Signup and view all the answers

    What is the result of adding $3/5$ and $2/5$?

    <p>5/5</p> Signup and view all the answers

    What is the result of subtracting $3/7$ from $5/7$?

    <p>2/7</p> Signup and view all the answers

    Study Notes

    Fraction Basics

    • A fraction consists of two numbers: a numerator (the top number) and a denominator (the bottom number).
    • Numerator represents the number of parts, while denominator represents the number of parts that make a whole.

    Simplifying Fractions

    • A fraction is simplified if the numerator and denominator have no factors in common other than 1.
    • To simplify a fraction, divide both the numerator and denominator by the largest number that will divide evenly into both.

    Examples of Simplified Fractions

    • 16/60 = 1/6
    • 75/120 = 5/8
    • 7/18 = 7/18
    • 10xy/15y = 2x/3y
    • 5/15 = 1/3
    • 13/26 = 1/2

    Multiplying Fractions

    • Multiply straight across, numerator times numerator and denominator times denominator.
    • Simplify, if possible.

    Examples of Multiplying Fractions

    • 3/1 × 4/5 = 12/5
    • 11/3y × 3/5y = 33y/15y
    • 2/5 × 5/5 = 2/5
    • 9a/2 × 10/5 = 9a/1

    Dividing Fractions

    • Multiply the first fraction by the reciprocal (flip) of the second fraction.

    Examples of Dividing Fractions

    • 2/5 ÷ 3/1 = 2/5 × 1/3 = 2/15
    • 3y/5y ÷ 6y/3y = 3y/5y × 3y/6y = 1/2
    • 7/x ÷ 2/5 = 7/x × 5/2 = 35/2x

    Adding or Subtracting Fractions

    • DENOMINATORS must be the SAME to add or subtract fractions.
    • Get a common denominator, if needed, then add or subtract the numerators and keep the common denominator.
    • Simplify, if possible.

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    Fraction Review PDF

    Description

    Learn about fractions, including numerator, denominator, and simplification.

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